Communications in Mathematical Sciences
Volume 12 (2014)
Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles
Pages: 1579 – 1601
We investigate a kinetic model for the sedimentation of dilute suspensions of rod-like particles under gravity, deduced by Helzel, Otto, and Tzavaras (2011), which couples the impressible (Navier-)Stokes equation with the Fokker-Planck equation. With a no-flux boundary condition for the distribution function, we establish the existence and uniqueness of a global weak solution to the two dimensional model involving the Stokes equation.
Fokker-Planck equation, global weak solution, uniqueness
2010 Mathematics Subject Classification
35K55, 35Q30, 65M06, 76D05